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Finding the Fourth Proportional to 22,655.85, 33,970.32 and 6,856.08

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Solution

The fourth proportional to 22,655.85, 33,970.32 and 6,856.08 is: 10,280.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,655.85 : 33,970.32 = 6,856.08 : x
  2. Step 2: Convert to fraction form
    22,655.85/33,970.32 = 6,856.08/x
  3. Step 3: Cross multiply
    22,655.85x = 33,970.32 × 6,856.08
  4. Step 4: Simplify right side
    22,655.85x = 232,903,231.55
  5. Step 5: Solve for x
    x = 232,903,231.55/22,655.85
  6. Step 6: Final answer
    x = 10,280.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.